1+ 0.9 +0.09+ 0.009……=? There is a reward for writing answers.

1+ 0.9 +0.09+ 0.009……=?

? Is it 2?

There are ***6 answers for writing answers.

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Let it be 0.9+0.09+0.009+ ... = X.

10x=9+0.9+0.09+0.009+……

10x-x =(9+0.9+0.09+0.009+……)(0.9+0.09+0.009+……)，

9x=9，

x= 1，

So1+0.9+0.09+0.009+... =1+1= 2.

Extended data

The types of equations are divided according to different numbers of unknowns, different powers of unknowns and different numbers and powers of unknowns.

According to the number of unknowns, it is divided into one-dimensional equation, two-dimensional equation and multivariate equation;

According to the power of the unknown, it can be divided into linear equation, quadratic equation and multivariate equation.

According to the number and power of the unknown, it can be divided into binary linear equation, binary quadratic equation, binary multivariate equation and multivariate multivariate equation.

0 appreciation 3

Zhang Guofen 3399

2020- 12- 1 1

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I think so: the cycle of 0.9+0.09+0.009+…=9, the cycle of 9 is equal to 1, so the cycle of 1+9 is equal to1= 2.

0 4

Anonymous user

20 17- 12-29

Solution 1:

1+0.9+0.09+0.009+……= 1+0.9×( 1-0. 1^n)/( 1-0. 1)=2-0. 1^n，

When n→∞, the original formula =2.

Solution 2:

Let 0.9+0.09+0.009+ ... = x,

10x=9+0.9+0.09+0.009+……，

10x-x =(9+0.9+0.09+0.009+……)(0.9+0.09+0.009+……)，

9x=9，

x= 1，

So1+0.9+0.09+0.009+... =1+1= 2.

Expand the remaining 8%

0 16

Southwest wind of AQ

20 17- 12-28 TA received more than 29,000 likes.

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Original formula = 1.999...= 2.

0 67

Tea in the rain 886

20 17- 12-28 TA received more than 70 1 likes.

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If you use extreme thinking, it is 2.

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1 answers are folded (why? )

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